Triangular Trimers on the Triangular Lattice: an Exact Solution
Statistical Mechanics
2009-10-31 v1
Abstract
A model is presented consisting of triangular trimers on the triangular lattice. In analogy to the dimer problem, these particles cover the lattice completely without overlap. The model has a honeycomb structure of hexagonal cells separated by rigid domain walls. The transfer matrix can be diagonalised by a Bethe Ansatz with two types of particles. This leads two an exact expression for the entropy on a two-dimensional subset of the parameter space.
Cite
@article{arxiv.cond-mat/9904343,
title = {Triangular Trimers on the Triangular Lattice: an Exact Solution},
author = {Alain Verberkmoes and Bernard Nienhuis},
journal= {arXiv preprint arXiv:cond-mat/9904343},
year = {2009}
}
Comments
4 pages, REVTeX, 5 EPS figures